Finding the Fourth Proportional to 10,267.05, 14,166.90 and 5,789.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,267.05 : 14,166.90 = 5,789.78 : x
2. Step 2: Convert to fraction form
   10,267.05/14,166.90 = 5,789.78/x
3. Step 3: Cross multiply
   10,267.05x = 14,166.90 × 5,789.78
4. Step 4: Simplify right side
   10,267.05x = 82,023,216.57
5. Step 5: Solve for x
   x = 82,023,216.57/10,267.05
6. Step 6: Final answer
   x = 7,988.97